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Finding the Fourth Proportional to 10,368.02, 14,307.90 and 5,652.30

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Solution

The fourth proportional to 10,368.02, 14,307.90 and 5,652.30 is: 7,800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.02 : 14,307.90 = 5,652.30 : x
  2. Step 2: Convert to fraction form
    10,368.02/14,307.90 = 5,652.30/x
  3. Step 3: Cross multiply
    10,368.02x = 14,307.90 × 5,652.30
  4. Step 4: Simplify right side
    10,368.02x = 80,872,543.17
  5. Step 5: Solve for x
    x = 80,872,543.17/10,368.02
  6. Step 6: Final answer
    x = 7,800.19

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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.