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Finding the Fourth Proportional to 10,776.76, 14,871.62 and 6,530.34

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Solution

The fourth proportional to 10,776.76, 14,871.62 and 6,530.34 is: 9,011.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.76 : 14,871.62 = 6,530.34 : x
  2. Step 2: Convert to fraction form
    10,776.76/14,871.62 = 6,530.34/x
  3. Step 3: Cross multiply
    10,776.76x = 14,871.62 × 6,530.34
  4. Step 4: Simplify right side
    10,776.76x = 97,116,734.95
  5. Step 5: Solve for x
    x = 97,116,734.95/10,776.76
  6. Step 6: Final answer
    x = 9,011.68

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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.