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Finding the Fourth Proportional to 11,182.61, 15,430.68 and 6,146.01

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Solution

The fourth proportional to 11,182.61, 15,430.68 and 6,146.01 is: 8,480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.61 : 15,430.68 = 6,146.01 : x
  2. Step 2: Convert to fraction form
    11,182.61/15,430.68 = 6,146.01/x
  3. Step 3: Cross multiply
    11,182.61x = 15,430.68 × 6,146.01
  4. Step 4: Simplify right side
    11,182.61x = 94,837,113.59
  5. Step 5: Solve for x
    x = 94,837,113.59/11,182.61
  6. Step 6: Final answer
    x = 8,480.77

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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.