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Finding the Fourth Proportional to 8,585.61, 12,870.12 and 3,316.74

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Solution

The fourth proportional to 8,585.61, 12,870.12 and 3,316.74 is: 4,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.61 : 12,870.12 = 3,316.74 : x
  2. Step 2: Convert to fraction form
    8,585.61/12,870.12 = 3,316.74/x
  3. Step 3: Cross multiply
    8,585.61x = 12,870.12 × 3,316.74
  4. Step 4: Simplify right side
    8,585.61x = 42,686,841.81
  5. Step 5: Solve for x
    x = 42,686,841.81/8,585.61
  6. Step 6: Final answer
    x = 4,971.91

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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.