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Finding the Fourth Proportional to 10,776.46, 14,871.19 and 6,530.03

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Solution

The fourth proportional to 10,776.46, 14,871.19 and 6,530.03 is: 9,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.46 : 14,871.19 = 6,530.03 : x
  2. Step 2: Convert to fraction form
    10,776.46/14,871.19 = 6,530.03/x
  3. Step 3: Cross multiply
    10,776.46x = 14,871.19 × 6,530.03
  4. Step 4: Simplify right side
    10,776.46x = 97,109,316.84
  5. Step 5: Solve for x
    x = 97,109,316.84/10,776.46
  6. Step 6: Final answer
    x = 9,011.24

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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.