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Finding the Fourth Proportional to 10,783, 14,870.10 and 7,007.18

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Solution

The fourth proportional to 10,783, 14,870.10 and 7,007.18 is: 9,663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783 : 14,870.10 = 7,007.18 : x
  2. Step 2: Convert to fraction form
    10,783/14,870.10 = 7,007.18/x
  3. Step 3: Cross multiply
    10,783x = 14,870.10 × 7,007.18
  4. Step 4: Simplify right side
    10,783x = 104,197,467.32
  5. Step 5: Solve for x
    x = 104,197,467.32/10,783
  6. Step 6: Final answer
    x = 9,663.12

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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.