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Finding the Fourth Proportional to 8,585.60, 12,878.64 and 3,038.16

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Solution

The fourth proportional to 8,585.60, 12,878.64 and 3,038.16 is: 4,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.60 : 12,878.64 = 3,038.16 : x
  2. Step 2: Convert to fraction form
    8,585.60/12,878.64 = 3,038.16/x
  3. Step 3: Cross multiply
    8,585.60x = 12,878.64 × 3,038.16
  4. Step 4: Simplify right side
    8,585.60x = 39,127,368.90
  5. Step 5: Solve for x
    x = 39,127,368.90/8,585.60
  6. Step 6: Final answer
    x = 4,557.32

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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.