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Finding the Fourth Proportional to 8,570.93, 12,841.72 and 4,678.07

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Solution

The fourth proportional to 8,570.93, 12,841.72 and 4,678.07 is: 7,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.93 : 12,841.72 = 4,678.07 : x
  2. Step 2: Convert to fraction form
    8,570.93/12,841.72 = 4,678.07/x
  3. Step 3: Cross multiply
    8,570.93x = 12,841.72 × 4,678.07
  4. Step 4: Simplify right side
    8,570.93x = 60,074,465.08
  5. Step 5: Solve for x
    x = 60,074,465.08/8,570.93
  6. Step 6: Final answer
    x = 7,009.10

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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.