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Finding the Fourth Proportional to 10,063.98, 13,888.32 and 5,587.74

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Solution

The fourth proportional to 10,063.98, 13,888.32 and 5,587.74 is: 7,711.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,063.98 : 13,888.32 = 5,587.74 : x
  2. Step 2: Convert to fraction form
    10,063.98/13,888.32 = 5,587.74/x
  3. Step 3: Cross multiply
    10,063.98x = 13,888.32 × 5,587.74
  4. Step 4: Simplify right side
    10,063.98x = 77,604,223.82
  5. Step 5: Solve for x
    x = 77,604,223.82/10,063.98
  6. Step 6: Final answer
    x = 7,711.09

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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.