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Finding the Fourth Proportional to 10,497.83, 14,484.09 and 7,307.54

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Solution

The fourth proportional to 10,497.83, 14,484.09 and 7,307.54 is: 10,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.83 : 14,484.09 = 7,307.54 : x
  2. Step 2: Convert to fraction form
    10,497.83/14,484.09 = 7,307.54/x
  3. Step 3: Cross multiply
    10,497.83x = 14,484.09 × 7,307.54
  4. Step 4: Simplify right side
    10,497.83x = 105,842,994.62
  5. Step 5: Solve for x
    x = 105,842,994.62/10,497.83
  6. Step 6: Final answer
    x = 10,082.37

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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.