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Finding the Fourth Proportional to 10,666.64, 14,706.23 and 7,303.66

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Solution

The fourth proportional to 10,666.64, 14,706.23 and 7,303.66 is: 10,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.64 : 14,706.23 = 7,303.66 : x
  2. Step 2: Convert to fraction form
    10,666.64/14,706.23 = 7,303.66/x
  3. Step 3: Cross multiply
    10,666.64x = 14,706.23 × 7,303.66
  4. Step 4: Simplify right side
    10,666.64x = 107,409,230.52
  5. Step 5: Solve for x
    x = 107,409,230.52/10,666.64
  6. Step 6: Final answer
    x = 10,069.64

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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.