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Finding the Fourth Proportional to 10,160.16, 14,018.76 and 6,432

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Solution

The fourth proportional to 10,160.16, 14,018.76 and 6,432 is: 8,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.16 : 14,018.76 = 6,432 : x
  2. Step 2: Convert to fraction form
    10,160.16/14,018.76 = 6,432/x
  3. Step 3: Cross multiply
    10,160.16x = 14,018.76 × 6,432
  4. Step 4: Simplify right side
    10,160.16x = 90,168,664.32
  5. Step 5: Solve for x
    x = 90,168,664.32/10,160.16
  6. Step 6: Final answer
    x = 8,874.73

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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.