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Finding the Fourth Proportional to 12,905.64, 17,810.10 and 7,317

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Solution

The fourth proportional to 12,905.64, 17,810.10 and 7,317 is: 10,097.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.64 : 17,810.10 = 7,317 : x
  2. Step 2: Convert to fraction form
    12,905.64/17,810.10 = 7,317/x
  3. Step 3: Cross multiply
    12,905.64x = 17,810.10 × 7,317
  4. Step 4: Simplify right side
    12,905.64x = 130,316,501.70
  5. Step 5: Solve for x
    x = 130,316,501.70/12,905.64
  6. Step 6: Final answer
    x = 10,097.64

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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.