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Finding the Fourth Proportional to 10,653.17, 14,701.40 and 6,406.67

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Solution

The fourth proportional to 10,653.17, 14,701.40 and 6,406.67 is: 8,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.17 : 14,701.40 = 6,406.67 : x
  2. Step 2: Convert to fraction form
    10,653.17/14,701.40 = 6,406.67/x
  3. Step 3: Cross multiply
    10,653.17x = 14,701.40 × 6,406.67
  4. Step 4: Simplify right side
    10,653.17x = 94,187,071.11
  5. Step 5: Solve for x
    x = 94,187,071.11/10,653.17
  6. Step 6: Final answer
    x = 8,841.23

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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.