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Finding the Fourth Proportional to 7,646.60, 11,384.99 and 7,603.40

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Solution

The fourth proportional to 7,646.60, 11,384.99 and 7,603.40 is: 11,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.60 : 11,384.99 = 7,603.40 : x
  2. Step 2: Convert to fraction form
    7,646.60/11,384.99 = 7,603.40/x
  3. Step 3: Cross multiply
    7,646.60x = 11,384.99 × 7,603.40
  4. Step 4: Simplify right side
    7,646.60x = 86,564,632.97
  5. Step 5: Solve for x
    x = 86,564,632.97/7,646.60
  6. Step 6: Final answer
    x = 11,320.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.