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Finding the Fourth Proportional to 10,445.87, 14,417.42 and 7,089.76

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Solution

The fourth proportional to 10,445.87, 14,417.42 and 7,089.76 is: 9,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,445.87 : 14,417.42 = 7,089.76 : x
  2. Step 2: Convert to fraction form
    10,445.87/14,417.42 = 7,089.76/x
  3. Step 3: Cross multiply
    10,445.87x = 14,417.42 × 7,089.76
  4. Step 4: Simplify right side
    10,445.87x = 102,216,050.13
  5. Step 5: Solve for x
    x = 102,216,050.13/10,445.87
  6. Step 6: Final answer
    x = 9,785.31

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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.