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Finding the Fourth Proportional to 10,482.56, 14,465.40 and 6,006.08

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Solution

The fourth proportional to 10,482.56, 14,465.40 and 6,006.08 is: 8,288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.56 : 14,465.40 = 6,006.08 : x
  2. Step 2: Convert to fraction form
    10,482.56/14,465.40 = 6,006.08/x
  3. Step 3: Cross multiply
    10,482.56x = 14,465.40 × 6,006.08
  4. Step 4: Simplify right side
    10,482.56x = 86,880,349.63
  5. Step 5: Solve for x
    x = 86,880,349.63/10,482.56
  6. Step 6: Final answer
    x = 8,288.09

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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.