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Finding the Fourth Proportional to 10,970.60, 16,456.02 and 3,575

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Solution

The fourth proportional to 10,970.60, 16,456.02 and 3,575 is: 5,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.60 : 16,456.02 = 3,575 : x
  2. Step 2: Convert to fraction form
    10,970.60/16,456.02 = 3,575/x
  3. Step 3: Cross multiply
    10,970.60x = 16,456.02 × 3,575
  4. Step 4: Simplify right side
    10,970.60x = 58,830,271.50
  5. Step 5: Solve for x
    x = 58,830,271.50/10,970.60
  6. Step 6: Final answer
    x = 5,362.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.