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Finding the Fourth Proportional to 10,058.88, 15,088.32 and 5,952

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Solution

The fourth proportional to 10,058.88, 15,088.32 and 5,952 is: 8,928

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.88 : 15,088.32 = 5,952 : x
  2. Step 2: Convert to fraction form
    10,058.88/15,088.32 = 5,952/x
  3. Step 3: Cross multiply
    10,058.88x = 15,088.32 × 5,952
  4. Step 4: Simplify right side
    10,058.88x = 89,805,680.64
  5. Step 5: Solve for x
    x = 89,805,680.64/10,058.88
  6. Step 6: Final answer
    x = 8,928

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.