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Finding the Fourth Proportional to 7,565.72, 11,341.58 and 4,058.16

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Solution

The fourth proportional to 7,565.72, 11,341.58 and 4,058.16 is: 6,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.72 : 11,341.58 = 4,058.16 : x
  2. Step 2: Convert to fraction form
    7,565.72/11,341.58 = 4,058.16/x
  3. Step 3: Cross multiply
    7,565.72x = 11,341.58 × 4,058.16
  4. Step 4: Simplify right side
    7,565.72x = 46,025,946.29
  5. Step 5: Solve for x
    x = 46,025,946.29/7,565.72
  6. Step 6: Final answer
    x = 6,083.49

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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.