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Finding the Fourth Proportional to 10,507.05, 15,752.70 and 6,346.10

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Solution

The fourth proportional to 10,507.05, 15,752.70 and 6,346.10 is: 9,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.05 : 15,752.70 = 6,346.10 : x
  2. Step 2: Convert to fraction form
    10,507.05/15,752.70 = 6,346.10/x
  3. Step 3: Cross multiply
    10,507.05x = 15,752.70 × 6,346.10
  4. Step 4: Simplify right side
    10,507.05x = 99,968,248.85
  5. Step 5: Solve for x
    x = 99,968,248.85/10,507.05
  6. Step 6: Final answer
    x = 9,514.40

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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.