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Finding the Fourth Proportional to 12,457.72, 17,191.02 and 7,152.76

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Solution

The fourth proportional to 12,457.72, 17,191.02 and 7,152.76 is: 9,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.72 : 17,191.02 = 7,152.76 : x
  2. Step 2: Convert to fraction form
    12,457.72/17,191.02 = 7,152.76/x
  3. Step 3: Cross multiply
    12,457.72x = 17,191.02 × 7,152.76
  4. Step 4: Simplify right side
    12,457.72x = 122,963,240.22
  5. Step 5: Solve for x
    x = 122,963,240.22/12,457.72
  6. Step 6: Final answer
    x = 9,870.45

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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.