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Finding the Fourth Proportional to 11,710.90, 16,156.51 and 7,461.20

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Solution

The fourth proportional to 11,710.90, 16,156.51 and 7,461.20 is: 10,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.90 : 16,156.51 = 7,461.20 : x
  2. Step 2: Convert to fraction form
    11,710.90/16,156.51 = 7,461.20/x
  3. Step 3: Cross multiply
    11,710.90x = 16,156.51 × 7,461.20
  4. Step 4: Simplify right side
    11,710.90x = 120,547,004.44
  5. Step 5: Solve for x
    x = 120,547,004.44/11,710.90
  6. Step 6: Final answer
    x = 10,293.57

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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.