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Finding the Fourth Proportional to 10,347.04, 14,278.08 and 7,210

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Solution

The fourth proportional to 10,347.04, 14,278.08 and 7,210 is: 9,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.04 : 14,278.08 = 7,210 : x
  2. Step 2: Convert to fraction form
    10,347.04/14,278.08 = 7,210/x
  3. Step 3: Cross multiply
    10,347.04x = 14,278.08 × 7,210
  4. Step 4: Simplify right side
    10,347.04x = 102,944,956.80
  5. Step 5: Solve for x
    x = 102,944,956.80/10,347.04
  6. Step 6: Final answer
    x = 9,949.22

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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.