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Finding the Fourth Proportional to 11,430.99, 15,775.22 and 6,715.23

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Solution

The fourth proportional to 11,430.99, 15,775.22 and 6,715.23 is: 9,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.99 : 15,775.22 = 6,715.23 : x
  2. Step 2: Convert to fraction form
    11,430.99/15,775.22 = 6,715.23/x
  3. Step 3: Cross multiply
    11,430.99x = 15,775.22 × 6,715.23
  4. Step 4: Simplify right side
    11,430.99x = 105,934,197.02
  5. Step 5: Solve for x
    x = 105,934,197.02/11,430.99
  6. Step 6: Final answer
    x = 9,267.28

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