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Finding the Fourth Proportional to 10,038.59, 15,058.01 and 4,774.11

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Solution

The fourth proportional to 10,038.59, 15,058.01 and 4,774.11 is: 7,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.59 : 15,058.01 = 4,774.11 : x
  2. Step 2: Convert to fraction form
    10,038.59/15,058.01 = 4,774.11/x
  3. Step 3: Cross multiply
    10,038.59x = 15,058.01 × 4,774.11
  4. Step 4: Simplify right side
    10,038.59x = 71,888,645.93
  5. Step 5: Solve for x
    x = 71,888,645.93/10,038.59
  6. Step 6: Final answer
    x = 7,161.23

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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.