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Finding the Fourth Proportional to 10,382.16, 15,603.12 and 8,637.96

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Solution

The fourth proportional to 10,382.16, 15,603.12 and 8,637.96 is: 12,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.16 : 15,603.12 = 8,637.96 : x
  2. Step 2: Convert to fraction form
    10,382.16/15,603.12 = 8,637.96/x
  3. Step 3: Cross multiply
    10,382.16x = 15,603.12 × 8,637.96
  4. Step 4: Simplify right side
    10,382.16x = 134,779,126.44
  5. Step 5: Solve for x
    x = 134,779,126.44/10,382.16
  6. Step 6: Final answer
    x = 12,981.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.