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Finding the Fourth Proportional to 10,666.40, 14,705.88 and 7,303.42

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Solution

The fourth proportional to 10,666.40, 14,705.88 and 7,303.42 is: 10,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.40 : 14,705.88 = 7,303.42 : x
  2. Step 2: Convert to fraction form
    10,666.40/14,705.88 = 7,303.42/x
  3. Step 3: Cross multiply
    10,666.40x = 14,705.88 × 7,303.42
  4. Step 4: Simplify right side
    10,666.40x = 107,403,218.11
  5. Step 5: Solve for x
    x = 107,403,218.11/10,666.40
  6. Step 6: Final answer
    x = 10,069.30

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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.