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Finding the Fourth Proportional to 8,702.61, 13,054.59 and 4,315.65

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Solution

The fourth proportional to 8,702.61, 13,054.59 and 4,315.65 is: 6,473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.61 : 13,054.59 = 4,315.65 : x
  2. Step 2: Convert to fraction form
    8,702.61/13,054.59 = 4,315.65/x
  3. Step 3: Cross multiply
    8,702.61x = 13,054.59 × 4,315.65
  4. Step 4: Simplify right side
    8,702.61x = 56,339,041.33
  5. Step 5: Solve for x
    x = 56,339,041.33/8,702.61
  6. Step 6: Final answer
    x = 6,473.81

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