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Finding the Fourth Proportional to 10,374.10, 15,536.85 and 7,069.30

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Solution

The fourth proportional to 10,374.10, 15,536.85 and 7,069.30 is: 10,587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.10 : 15,536.85 = 7,069.30 : x
  2. Step 2: Convert to fraction form
    10,374.10/15,536.85 = 7,069.30/x
  3. Step 3: Cross multiply
    10,374.10x = 15,536.85 × 7,069.30
  4. Step 4: Simplify right side
    10,374.10x = 109,834,653.71
  5. Step 5: Solve for x
    x = 109,834,653.71/10,374.10
  6. Step 6: Final answer
    x = 10,587.39

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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.