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Finding the Fourth Proportional to 10,543.80, 15,807.70 and 5,353.40

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Solution

The fourth proportional to 10,543.80, 15,807.70 and 5,353.40 is: 8,026.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.80 : 15,807.70 = 5,353.40 : x
  2. Step 2: Convert to fraction form
    10,543.80/15,807.70 = 5,353.40/x
  3. Step 3: Cross multiply
    10,543.80x = 15,807.70 × 5,353.40
  4. Step 4: Simplify right side
    10,543.80x = 84,624,941.18
  5. Step 5: Solve for x
    x = 84,624,941.18/10,543.80
  6. Step 6: Final answer
    x = 8,026.04

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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.