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Finding the Fourth Proportional to 12,585.72, 17,361.75 and 7,547.52

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Solution

The fourth proportional to 12,585.72, 17,361.75 and 7,547.52 is: 10,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.72 : 17,361.75 = 7,547.52 : x
  2. Step 2: Convert to fraction form
    12,585.72/17,361.75 = 7,547.52/x
  3. Step 3: Cross multiply
    12,585.72x = 17,361.75 × 7,547.52
  4. Step 4: Simplify right side
    12,585.72x = 131,038,155.36
  5. Step 5: Solve for x
    x = 131,038,155.36/12,585.72
  6. Step 6: Final answer
    x = 10,411.65

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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.