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Finding the Fourth Proportional to 10,347.54, 14,278.77 and 7,210.50

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Solution

The fourth proportional to 10,347.54, 14,278.77 and 7,210.50 is: 9,949.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.54 : 14,278.77 = 7,210.50 : x
  2. Step 2: Convert to fraction form
    10,347.54/14,278.77 = 7,210.50/x
  3. Step 3: Cross multiply
    10,347.54x = 14,278.77 × 7,210.50
  4. Step 4: Simplify right side
    10,347.54x = 102,957,071.09
  5. Step 5: Solve for x
    x = 102,957,071.09/10,347.54
  6. Step 6: Final answer
    x = 9,949.91

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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.