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Finding the Fourth Proportional to 10,570.35, 14,587.08 and 5,854.65

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Solution

The fourth proportional to 10,570.35, 14,587.08 and 5,854.65 is: 8,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.35 : 14,587.08 = 5,854.65 : x
  2. Step 2: Convert to fraction form
    10,570.35/14,587.08 = 5,854.65/x
  3. Step 3: Cross multiply
    10,570.35x = 14,587.08 × 5,854.65
  4. Step 4: Simplify right side
    10,570.35x = 85,402,247.92
  5. Step 5: Solve for x
    x = 85,402,247.92/10,570.35
  6. Step 6: Final answer
    x = 8,079.42

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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.