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Finding the Fourth Proportional to 10,732, 14,810.16 and 7,006

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Solution

The fourth proportional to 10,732, 14,810.16 and 7,006 is: 9,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732 : 14,810.16 = 7,006 : x
  2. Step 2: Convert to fraction form
    10,732/14,810.16 = 7,006/x
  3. Step 3: Cross multiply
    10,732x = 14,810.16 × 7,006
  4. Step 4: Simplify right side
    10,732x = 103,759,980.96
  5. Step 5: Solve for x
    x = 103,759,980.96/10,732
  6. Step 6: Final answer
    x = 9,668.28

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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.