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Finding the Fourth Proportional to 10,160.66, 14,017.65 and 6,432.50

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Solution

The fourth proportional to 10,160.66, 14,017.65 and 6,432.50 is: 8,874.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.66 : 14,017.65 = 6,432.50 : x
  2. Step 2: Convert to fraction form
    10,160.66/14,017.65 = 6,432.50/x
  3. Step 3: Cross multiply
    10,160.66x = 14,017.65 × 6,432.50
  4. Step 4: Simplify right side
    10,160.66x = 90,168,533.63
  5. Step 5: Solve for x
    x = 90,168,533.63/10,160.66
  6. Step 6: Final answer
    x = 8,874.28

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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.