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Finding the Fourth Proportional to 11,495, 15,863.12 and 6,527

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Solution

The fourth proportional to 11,495, 15,863.12 and 6,527 is: 9,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495 : 15,863.12 = 6,527 : x
  2. Step 2: Convert to fraction form
    11,495/15,863.12 = 6,527/x
  3. Step 3: Cross multiply
    11,495x = 15,863.12 × 6,527
  4. Step 4: Simplify right side
    11,495x = 103,538,551.61
  5. Step 5: Solve for x
    x = 103,538,551.61/11,495
  6. Step 6: Final answer
    x = 9,007.27

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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.