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Finding the Fourth Proportional to 10,496.25, 14,496.84 and 7,133.40

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Solution

The fourth proportional to 10,496.25, 14,496.84 and 7,133.40 is: 9,852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.25 : 14,496.84 = 7,133.40 : x
  2. Step 2: Convert to fraction form
    10,496.25/14,496.84 = 7,133.40/x
  3. Step 3: Cross multiply
    10,496.25x = 14,496.84 × 7,133.40
  4. Step 4: Simplify right side
    10,496.25x = 103,411,758.46
  5. Step 5: Solve for x
    x = 103,411,758.46/10,496.25
  6. Step 6: Final answer
    x = 9,852.26

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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.