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Finding the Fourth Proportional to 10,461.40, 15,697.45 and 6,953.80

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Solution

The fourth proportional to 10,461.40, 15,697.45 and 6,953.80 is: 10,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.40 : 15,697.45 = 6,953.80 : x
  2. Step 2: Convert to fraction form
    10,461.40/15,697.45 = 6,953.80/x
  3. Step 3: Cross multiply
    10,461.40x = 15,697.45 × 6,953.80
  4. Step 4: Simplify right side
    10,461.40x = 109,156,887.58
  5. Step 5: Solve for x
    x = 109,156,887.58/10,461.40
  6. Step 6: Final answer
    x = 10,434.25

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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.