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Finding the Fourth Proportional to 11,430.06, 15,776.01 and 7,237.50

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Solution

The fourth proportional to 11,430.06, 15,776.01 and 7,237.50 is: 9,989.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.06 : 15,776.01 = 7,237.50 : x
  2. Step 2: Convert to fraction form
    11,430.06/15,776.01 = 7,237.50/x
  3. Step 3: Cross multiply
    11,430.06x = 15,776.01 × 7,237.50
  4. Step 4: Simplify right side
    11,430.06x = 114,178,872.38
  5. Step 5: Solve for x
    x = 114,178,872.38/11,430.06
  6. Step 6: Final answer
    x = 9,989.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.