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Finding the Fourth Proportional to 10,587.40, 15,859.92 and 6,368.32

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Solution

The fourth proportional to 10,587.40, 15,859.92 and 6,368.32 is: 9,539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.40 : 15,859.92 = 6,368.32 : x
  2. Step 2: Convert to fraction form
    10,587.40/15,859.92 = 6,368.32/x
  3. Step 3: Cross multiply
    10,587.40x = 15,859.92 × 6,368.32
  4. Step 4: Simplify right side
    10,587.40x = 101,001,035.82
  5. Step 5: Solve for x
    x = 101,001,035.82/10,587.40
  6. Step 6: Final answer
    x = 9,539.74

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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.