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Finding the Fourth Proportional to 10,970.64, 16,457.40 and 5,776.88

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Solution

The fourth proportional to 10,970.64, 16,457.40 and 5,776.88 is: 8,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.64 : 16,457.40 = 5,776.88 : x
  2. Step 2: Convert to fraction form
    10,970.64/16,457.40 = 5,776.88/x
  3. Step 3: Cross multiply
    10,970.64x = 16,457.40 × 5,776.88
  4. Step 4: Simplify right side
    10,970.64x = 95,072,424.91
  5. Step 5: Solve for x
    x = 95,072,424.91/10,970.64
  6. Step 6: Final answer
    x = 8,666.08

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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.