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Finding the Fourth Proportional to 10,587.69, 14,616.99 and 7,235.37

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Solution

The fourth proportional to 10,587.69, 14,616.99 and 7,235.37 is: 9,988.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.69 : 14,616.99 = 7,235.37 : x
  2. Step 2: Convert to fraction form
    10,587.69/14,616.99 = 7,235.37/x
  3. Step 3: Cross multiply
    10,587.69x = 14,616.99 × 7,235.37
  4. Step 4: Simplify right side
    10,587.69x = 105,759,330.94
  5. Step 5: Solve for x
    x = 105,759,330.94/10,587.69
  6. Step 6: Final answer
    x = 9,988.90

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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.