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Finding the Fourth Proportional to 10,646.52, 14,674.18 and 7,283.53

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Solution

The fourth proportional to 10,646.52, 14,674.18 and 7,283.53 is: 10,038.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.52 : 14,674.18 = 7,283.53 : x
  2. Step 2: Convert to fraction form
    10,646.52/14,674.18 = 7,283.53/x
  3. Step 3: Cross multiply
    10,646.52x = 14,674.18 × 7,283.53
  4. Step 4: Simplify right side
    10,646.52x = 106,879,830.26
  5. Step 5: Solve for x
    x = 106,879,830.26/10,646.52
  6. Step 6: Final answer
    x = 10,038.95

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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.